726889282560 has 1232 divisors, whose sum is σ = 3062012253696. Its totient is φ = 162031435776.

The previous prime is 726889282543. The next prime is 726889282577. The reversal of 726889282560 is 65282988627.

726889282560 is a `hidden beast` number, since 7 + 2 + 68 + 8 + 9 + 2 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (726889282543) and next prime (726889282577).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1123476157 + ... + 1123476803.

Almost surely, 2^726889282560 is an apocalyptic number.

726889282560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726889282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531006126848).

726889282560 is an abundant number, since it is smaller than the sum of its proper divisors (2335122971136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

726889282560 is an equidigital number, since it uses as much as digits as its factorization.

726889282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 726889282560 in words is "seven hundred twenty-six billion, eight hundred eighty-nine million, two hundred eighty-two thousand, five hundred sixty".